Live analysis

1,000,428

1,000,428 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,000,428 (one million four hundred twenty-eight) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 11² × 13 × 53. Its proper divisors sum to 1,814,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF43EC.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,416 1,000,417 1,000,418 1,000,419 1,000,420 1,000,421 1,000,422 1,000,423 1,000,424 1,000,425 1,000,426 1,000,427 1,000,428 1,000,429 1,000,430 1,000,431 1,000,432 1,000,433 1,000,434 1,000,435 1,000,436 1,000,437 1,000,438 1,000,439 1,000,440

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,240,001
Square (n²): 1,000,856,183,184
Cube (n³): 1,001,284,549,630,402,752
Divisor count: 72
σ(n) — sum of divisors: 2,815,344
φ(n) — Euler's totient: 274,560
Sum of prime factors: 95

Primality

Prime factorization: 2 ² × 3 × 11 ² × 13 × 53

Nearest primes: 1,000,427 (−1) · 1,000,429 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 13 · 22 · 26 · 33 · 39 · 44 · 52 · 53 · 66 · 78 · 106 · 121 · 132 · 143 · 156 · 159 · 212 · 242 · 286 · 318 · 363 · 429 · 484 · 572 · 583 · 636 · 689 · 726 · 858 · 1166 · 1378 · 1452 · 1573 · 1716 · 1749 · 2067 · 2332 · 2756 · 3146 · 3498 · 4134 · 4719 · 6292 · 6413 · 6996 · 7579 · 8268 · 9438 · 12826 · 15158 · 18876 · 19239 · 22737 · 25652 · 30316 · 38478 · 45474 · 76956 · 83369 · 90948 · 166738 · 250107 · 333476 · 500214 (half) · 1000428

Aliquot sum (sum of proper divisors): 1,814,916

Factor pairs (a × b = 1,000,428)

1 × 1000428

2 × 500214

3 × 333476

4 × 250107

6 × 166738

11 × 90948

12 × 83369

13 × 76956

22 × 45474

26 × 38478

33 × 30316

39 × 25652

44 × 22737

52 × 19239

53 × 18876

66 × 15158

78 × 12826

106 × 9438

121 × 8268

132 × 7579

143 × 6996

156 × 6413

159 × 6292

212 × 4719

242 × 4134

286 × 3498

318 × 3146

363 × 2756

429 × 2332

484 × 2067

572 × 1749

583 × 1716

636 × 1573

689 × 1452

726 × 1378

858 × 1166

First multiples

1,000,428 · 2,000,856 (double) · 3,001,284 · 4,001,712 · 5,002,140 · 6,002,568 · 7,002,996 · 8,003,424 · 9,003,852 · 10,004,280

Sums & aliquot sequence

As consecutive integers: 333,475 + 333,476 + 333,477 125,050 + 125,051 + … + 125,057 90,943 + 90,944 + … + 90,953 76,950 + 76,951 + … + 76,962

Aliquot sequence: 1,000,428 → 1,814,916 → 2,419,916 → 2,302,564 → 2,199,164 → 2,039,812 → 1,565,244 → 2,527,460 → 3,189,076 → 2,959,724 → 2,219,800 → 3,416,000 → 6,410,752 → 7,092,848 → 9,234,232 → 10,659,368 → 9,326,962 — unresolved within range

Continued fraction of √n

√1,000,428 = [1000; (4, 1, 2, 16, 5, 1, 2, 2, 1, 1, 1, 15, 1, 9, 3, 1, 3, 16, 3, 1, 3, 9, 1, 15, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million four hundred twenty-eight
Ordinal: 1000428th
Binary: 11110100001111101100
Octal: 3641754
Hexadecimal: 0xF43EC
Base64: D0Ps
One's complement: 4,293,966,867 (32-bit)
Scientific notation: 1.000428 × 10⁶
As a duration: 1,000,428 s = 11 days, 13 hours, 53 minutes, 48 seconds

In other bases

ternary (3) 1212211022220

quaternary (4) 3310033230

quinary (5) 224003203

senary (6) 33235340

septenary (7) 11334462

nonary (9) 1784286

undecimal (11) 623700

duodecimal (12) 402b50

tridecimal (13) 290490

tetradecimal (14) 1c0832

pentadecimal (15) 14b653

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零四百二十八
Chinese (financial): 壹佰萬零肆佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٤٢٨ Devanagari १०००४२८ Bengali ১০০০৪২৮ Tamil ௧௦௦௦௪௨௮ Thai ๑๐๐๐๔๒๘ Tibetan ༡༠༠༠༤༢༨ Khmer ១០០០៤២៨ Lao ໑໐໐໐໔໒໘ Burmese ၁၀၀၀၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000428, here are decompositions:

5 + 1000423 = 1000428
19 + 1000409 = 1000428
31 + 1000397 = 1000428
47 + 1000381 = 1000428
61 + 1000367 = 1000428
71 + 1000357 = 1000428
137 + 1000291 = 1000428
139 + 1000289 = 1000428

Showing the first eight; more decompositions exist.

Hex color

#0F43EC

RGB(15, 67, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.236.

Address: 0.15.67.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.236

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,000,428 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,000,428 on Google Patents ↗ Look up on USPTO ↗